Efficiency of Stirling heat engines

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SUMMARY

The discussion centers on the efficiency of Stirling heat engines, specifically the alpha type, and the comparison with Carnot engines. The user seeks to understand the real and ideal efficiency calculations, referencing the Carnot efficiency formula: effc = 1 - (Tc/Th). The conversation highlights the need for clarity on the appropriate formulas for Stirling engines, with mentions of using calculus for more complex efficiency calculations. The user is in their second semester of general physics and aims to incorporate these concepts into a class project.

PREREQUISITES
  • Understanding of the second law of thermodynamics
  • Familiarity with Stirling engine mechanics
  • Knowledge of Carnot efficiency calculations
  • Basic calculus for advanced efficiency equations
NEXT STEPS
  • Research the specific efficiency formulas for Stirling engines
  • Study the derivation of Stirling engine efficiency using calculus
  • Compare the thermodynamic cycles of Stirling and Carnot engines
  • Explore practical applications and limitations of Stirling engines
USEFUL FOR

Students in physics courses, particularly those focusing on thermodynamics, engineers interested in heat engine design, and anyone researching the efficiency of Stirling engines compared to other thermodynamic cycles.

mysticwolves
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Not sure if this should be posted in the general physics forums or in the hw/coursework section.

I'm in my second semester of general physics and have to do a class project. For my project I built an alpha type Stirling engine. In the paper I need to write I need to explain how it works using physics. I'm am stuck on the second law of thermodynamics and finding the efficiency (real and ideal) of a Stirling heat engine. I also need to compare the Stirling engine to the carnot engine.

I know the efficiency of a carnot is effc= 1-(Tc/Th).

What formula is used to calculate the the real efficiency of a Stirling heat engine?
 
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mysticwolves said:
Not sure if this should be posted in the general physics forums or in the hw/coursework section.

I'm in my second semester of general physics and have to do a class project. For my project I built an alpha type Stirling engine. In the paper I need to write I need to explain how it works using physics. I'm am stuck on the second law of thermodynamics and finding the efficiency (real and ideal) of a Stirling heat engine. I also need to compare the Stirling engine to the carnot engine.

I know the efficiency of a carnot is effc= 1-(Tc/Th).

What formula is used to calculate the the real efficiency of a Stirling heat engine?

Welcome to the PF.

What have you been reading about the Stirling engine? What equations and derivations have you seen so far for its efficiency?
 
I have been searching Google for various information. On a few sites they use the carnot efficiency for Stirling engines which I wasn't sure if that was the correct equation. On other sites the equations used calculus that I haven't used before.
 
I know these equations for efficiency:

effc=1-(Tc/Th)

eff=W/Qin
 

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